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Lightly grease a 2-quart round bowl with cooking spray. Line with 2 long pieces of plastic wrap, letting the excess hang over the sides. Arrange the bowl in the freezer, making sure it’s level and secure.

Remove the raspberry sorbet from the freezer and let soften at room temperature until just barely spreadable. Remove the bowl from the freezer. Using a rubber spatula, spread the sorbet in an even layer in the bottom of the bowl. Return the bowl to the freezer.

Remove the strawberry ice cream from the freezer and let soften at room temperature until just barely spreadable. Remove the bowl from the freezer. Using a rubber spatula, spread the ice cream in an even layer over the firm raspberry sorbet. Return the bowl to the freezer.

Remove the vanilla ice cream from the freezer and let soften at room temperature until just barely spreadable. Remove the bowl from the freezer. Using a rubber spatula, spread the vanilla ice cream over the strawberry ice cream. Cover with plastic wrap. Return the bowl to the freezer and freeze until hard before serving, about 6 hours or for up to 3 days.

Pile the thawed strawberries and syrup into a food processor. Process until blended, about 20 seconds. Strain the sauce through a fine-mesh sieve into a small bowl pressing firmly on the berries. Discard the pulp and seeds and use immediately or cover and refrigerate for up to 2 days.

To serve, unwrap the mold and invert onto a shallow serving plate. Gently pull on the plastic while lifting off the bowl. Cut into wedges and serve with a drizzle of sauce.